427910187760 has 160 divisors (see below), whose sum is σ = 1113293030400. Its totient is φ = 151624596480.

The previous prime is 427910187743. The next prime is 427910187781. The reversal of 427910187760 is 67781019724.

It is a junction number, because it is equal to n+sod(n) for n = 427910187698 and 427910187707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9448851 + ... + 9494029.

It is an arithmetic number, because the mean of its divisors is an integer number (6958081440).

Almost surely, 2^427910187760 is an apocalyptic number.

427910187760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427910187760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556646515200).

427910187760 is an abundant number, since it is smaller than the sum of its proper divisors (685382842640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427910187760 is a wasteful number, since it uses less digits than its factorization.

427910187760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45479 (or 45473 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 52.

The spelling of 427910187760 in words is "four hundred twenty-seven billion, nine hundred ten million, one hundred eighty-seven thousand, seven hundred sixty".